Match the step with the correct result of the step process for solving this equation. −5x−x+15=−3(2x−5) (4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1 - Distributive Property Step 2 - Combine Like Terms Step 3 - How many solutions Step 4 - Why is there that many solutions?
Step 1 - Distributive Property: -5x - x + 15 = -6x + 15
Step 2 - Combine Like Terms: -6x + 15 = -6x + 15
Step 3 - How many solutions: Infinitely many solutions
Step 4 - Why is there that many solutions? The equation simplifies to 0 = 0, indicating that all values of x satisfy the equation. Therefore, there are infinitely many solutions.
Match the answer to the question about these linear equations: 3x+4y=48 y=−34x−3 (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. The solution(s) to this Linear system Why is this the solution?
The solution(s) to this Linear system: (6, -25)
Why is this the solution: By substituting the value of y from the second equation into the first equation, we can solve for x and then find the corresponding value of y. The intersection point of these two lines is the solution to the system of equations.
answer options: One solution: (3,12)
no solution
infinitely Solutions
because they are the same line
because they have the same slope, but a different y intercept - parallel
because they have different slopes and intersect at this point
One solution: (6, -25)
because they have different slopes and intersect at this point